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Finding the Fourth Proportional to 3,233.62, 4,847.19 and 1,587.70

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Solution

The fourth proportional to 3,233.62, 4,847.19 and 1,587.70 is: 2,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.62 : 4,847.19 = 1,587.70 : x
  2. Step 2: Convert to fraction form
    3,233.62/4,847.19 = 1,587.70/x
  3. Step 3: Cross multiply
    3,233.62x = 4,847.19 × 1,587.70
  4. Step 4: Simplify right side
    3,233.62x = 7,695,883.56
  5. Step 5: Solve for x
    x = 7,695,883.56/3,233.62
  6. Step 6: Final answer
    x = 2,379.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.